Global Solutions of the Cauchy Problem for the (Classical) Coupled Maxwell-Dirac and Other Nonlinear Dirac Equations in One Space Dimension

DOI10.2307/2042613zbMath0351.35003OpenAlexW4256642325MaRDI QIDQ4120896

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Publication date: 1978

Full work available at URL: https://doi.org/10.2307/2042613

Mathematics Subject Classification ID

Related Items (25)

Initial-boundary value problem for the one dimensional Thirring model ⋮ Global solutions to Gross-Neveu equation ⋮ Large time behavior of solution to nonlinear Dirac equation in \(1+1\) dimensions ⋮ Global existence in the critical space for the Thirring and Gross-Neveu models coupled with the electromagnetic field ⋮ Local well-posedness for the nonlinear Dirac equation in two space dimensions ⋮ Cubic nonlinear Dirac equation in a quarter plane ⋮ Well-posedness for the dimension-reduced Chern-Simons-Dirac system ⋮ Remarks on Chern-Simons-Dirac equations in one space dimension ⋮ On Short Wave-Long Wave Interactions in the Relativistic Context: Application to the Relativistic Euler Equations ⋮ On Short Wave-Long Wave Interactions in the Relativistic Context ⋮ Global solution to Maxwell-Dirac equations in \(1+1\) dimensions ⋮ Self-similar solutions to nonlinear Dirac equations and an application to nonuniqueness ⋮ Low-regularity integrators for nonlinear Dirac equations ⋮ Ill-posedness of the Thirring model below the critical regularity ⋮ Energy methods for Dirac-type equations in two-dimensional Minkowski space ⋮ Nonexistence of self-similar blowup for the nonlinear Dirac equations in \((1+1)\) dimensions ⋮ Global solutions and asymptotic behaviors of the Chern-Simons-Dirac equations in \(\mathbb R^{1+1}\) ⋮ Global strong solution to the Thirring model in critical space ⋮ A numerical method with particle conservation for the Maxwell-Dirac system ⋮ Ill-posedness of the Maxwell-Dirac system below charge in space dimension three and lower ⋮ Initial boundary value problem for nonlinear Dirac equation of Gross-Neveu type in 1 + 1 dimensions ⋮ Global strong solutions to some nonlinear Dirac equations in super-critical space ⋮ Global solution to nonlinear Dirac equation for Gross-Neveu model in \(1+1\) dimensions ⋮ Low regularity well-posedness for Gross-Neveu equations ⋮ The One-Dimensional Dirac Equation With Concentrated Nonlinearity

Cites Work

• Non-linear semi-groups
• Global solutions of the Cauchy problem for the (classical) coupled Maxwell-Dirac equations in one space dimension
• On One-Dimensional Coupled Dirac Equations

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